Aslan, İsmail2017-06-152017-06-152016Aslan, İ. (2016). Exact solutions for fractional DDEs via auxiliary equation method coupled with the fractional complex transform. Mathematical Methods in the Applied Sciences, 39(18), 5619-5625. doi:10.1002/mma.39460170-42141099-1476http://doi.org/10.1002/mma.3946https://hdl.handle.net/11147/5782Dynamical behavior of many nonlinear systems can be described by fractional-order equations. This study is devoted to fractional differential–difference equations of rational type. Our focus is on the construction of exact solutions by means of the (G'/G)-expansion method coupled with the so-called fractional complex transform. The solution procedure is elucidated through two generalized time-fractional differential–difference equations of rational type. As a result, three types of discrete solutions emerged: hyperbolic, trigonometric, and rational. Copyright © 2016 John Wiley & Sons, Ltd. Copyright © 2016 John Wiley & Sons, Ltd.eninfo:eu-repo/semantics/openAccess(G′/G)-expansion methodDifference equationsDifferential equationsFractional calculusLocal fractional derivativeSubclass 26A33Article2-s2.0-8496380467410.1002/mma.394610.1002/mma.3946